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Answer:

Aluminum foil is negatively charged and gold fillings are positively charged.

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Answer:

[tex] |d| = \sqrt{ {(x_{2} -x_{1})}^{2} + {(y_{2} -y_{1})}^{2} + {(z_{2} -z_{1})}^{2}} \\ = \sqrt{ {(6 - 2)}^{2} + {(3 - 0)}^{2} +{(5 - 8)}^{2} } \\ = \sqrt{16 + 9 + 9} \\ = \sqrt{34} [/tex]

The position of an ant and a spider in a room are A(2,3,5) and B(6,0,8)  the distance between ant and spider is 5.83 m.

The distance formula states that the distance between two points in xyz-space is the square root of the sum of the squares of the differences between corresponding coordinates A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] , [tex]z_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] ,[tex]z_{2}[/tex]),

AB² = ([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])² + ( [tex]z_{2}[/tex]  - [tex]z_{1}[/tex] )²

In reality, the Pythagorean Theorem is nothing more than the distance formula. Draw a right triangle using the segment AB as its hypotenuse in order to get the distance AB between points  A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )  and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] ).

Given that in the question two points are A(2,3,5) and B(6,0,8), so the distance between them is

AB² = ([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])² + ( [tex]z_{2}[/tex]  - [tex]z_{1}[/tex] )²

AB² = 4² + 3² + 3²

AB² = 34

AB  = 5.83 m

Position of an ant and a spider in a room are A(2,3,5) and B(6,0,8) the distance between ant and spider is 5.83 m.

To learn more about distance between two point refer to the link

brainly.com/question/24746233

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